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Finding the Fourth Proportional to 86.60, 119.43 and 80.06

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Solution

The fourth proportional to 86.60, 119.43 and 80.06 is: 110.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.60 : 119.43 = 80.06 : x
  2. Step 2: Convert to fraction form
    86.60/119.43 = 80.06/x
  3. Step 3: Cross multiply
    86.60x = 119.43 × 80.06
  4. Step 4: Simplify right side
    86.60x = 9,561.57
  5. Step 5: Solve for x
    x = 9,561.57/86.60
  6. Step 6: Final answer
    x = 110.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.